Properties

Label 585.2.bt.b.571.17
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.17
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09899 + 0.634500i) q^{2} +(1.58392 + 0.700848i) q^{3} +(-0.194820 + 0.337439i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-2.18540 + 0.234776i) q^{6} +(4.16228 - 2.40310i) q^{7} -3.03245i q^{8} +(2.01762 + 2.22018i) q^{9} +O(q^{10})\) \(q+(-1.09899 + 0.634500i) q^{2} +(1.58392 + 0.700848i) q^{3} +(-0.194820 + 0.337439i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-2.18540 + 0.234776i) q^{6} +(4.16228 - 2.40310i) q^{7} -3.03245i q^{8} +(2.01762 + 2.22018i) q^{9} +1.26900 q^{10} +(-3.25705 + 1.88046i) q^{11} +(-0.545074 + 0.397937i) q^{12} +(3.09393 + 1.85137i) q^{13} +(-3.04953 + 5.28194i) q^{14} +(-1.02129 - 1.39891i) q^{15} +(1.53445 + 2.65774i) q^{16} +2.36135 q^{17} +(-3.62604 - 1.15976i) q^{18} -4.60952i q^{19} +(0.337439 - 0.194820i) q^{20} +(8.27694 - 0.889188i) q^{21} +(2.38630 - 4.13319i) q^{22} +(4.07745 - 7.06236i) q^{23} +(2.12529 - 4.80317i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-4.57488 - 0.0715345i) q^{26} +(1.63975 + 4.93064i) q^{27} +1.87269i q^{28} +(2.72644 + 4.72233i) q^{29} +(2.01000 + 0.889376i) q^{30} +(-1.31066 - 0.756711i) q^{31} +(1.87969 + 1.08524i) q^{32} +(-6.47683 + 0.695803i) q^{33} +(-2.59509 + 1.49827i) q^{34} -4.80619 q^{35} +(-1.14225 + 0.248288i) q^{36} +9.70426i q^{37} +(2.92474 + 5.06579i) q^{38} +(3.60302 + 5.10081i) q^{39} +(-1.51623 + 2.62618i) q^{40} +(3.95889 + 2.28566i) q^{41} +(-8.53205 + 6.22892i) q^{42} +(-0.981245 - 1.69957i) q^{43} -1.46541i q^{44} +(-0.637223 - 2.93154i) q^{45} +10.3486i q^{46} +(-8.48359 + 4.89800i) q^{47} +(0.567773 + 5.28508i) q^{48} +(8.04974 - 13.9426i) q^{49} +(-1.09899 - 0.634500i) q^{50} +(3.74019 + 1.65495i) q^{51} +(-1.22749 + 0.683327i) q^{52} -8.05166 q^{53} +(-4.93055 - 4.37828i) q^{54} +3.76092 q^{55} +(-7.28728 - 12.6219i) q^{56} +(3.23057 - 7.30112i) q^{57} +(-5.99263 - 3.45985i) q^{58} +(-0.839155 - 0.484487i) q^{59} +(0.671017 - 0.0720870i) q^{60} +(4.76134 + 8.24689i) q^{61} +1.92053 q^{62} +(13.7332 + 4.39248i) q^{63} -8.89213 q^{64} +(-1.75374 - 3.15030i) q^{65} +(6.67646 - 4.87422i) q^{66} +(-1.76799 - 1.02075i) q^{67} +(-0.460039 + 0.796811i) q^{68} +(11.4080 - 8.32855i) q^{69} +(5.28194 - 3.04953i) q^{70} +7.78951i q^{71} +(6.73259 - 6.11835i) q^{72} +1.99976i q^{73} +(-6.15735 - 10.6648i) q^{74} +(0.185009 + 1.72214i) q^{75} +(1.55543 + 0.898028i) q^{76} +(-9.03784 + 15.6540i) q^{77} +(-7.19613 - 3.31960i) q^{78} +(-3.61917 - 6.26859i) q^{79} -3.06890i q^{80} +(-0.858397 + 8.95897i) q^{81} -5.80101 q^{82} +(-3.04623 + 1.75874i) q^{83} +(-1.31247 + 2.96619i) q^{84} +(-2.04499 - 1.18067i) q^{85} +(2.15675 + 1.24520i) q^{86} +(1.00883 + 9.39062i) q^{87} +(5.70240 + 9.87685i) q^{88} -17.2510i q^{89} +(2.56036 + 2.81741i) q^{90} +(17.3269 + 0.270929i) q^{91} +(1.58874 + 2.75178i) q^{92} +(-1.54565 - 2.11715i) q^{93} +(6.21556 - 10.7657i) q^{94} +(-2.30476 + 3.99196i) q^{95} +(2.21669 + 3.03631i) q^{96} +(-2.99976 + 1.73191i) q^{97} +20.4302i q^{98} +(-10.7465 - 3.43718i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09899 + 0.634500i −0.777100 + 0.448659i −0.835402 0.549640i \(-0.814765\pi\)
0.0583014 + 0.998299i \(0.481432\pi\)
\(3\) 1.58392 + 0.700848i 0.914478 + 0.404635i
\(4\) −0.194820 + 0.337439i −0.0974102 + 0.168719i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −2.18540 + 0.234776i −0.892184 + 0.0958469i
\(7\) 4.16228 2.40310i 1.57320 0.908285i 0.577422 0.816446i \(-0.304059\pi\)
0.995774 0.0918391i \(-0.0292745\pi\)
\(8\) 3.03245i 1.07213i
\(9\) 2.01762 + 2.22018i 0.672541 + 0.740060i
\(10\) 1.26900 0.401293
\(11\) −3.25705 + 1.88046i −0.982037 + 0.566980i −0.902885 0.429883i \(-0.858555\pi\)
−0.0791527 + 0.996863i \(0.525221\pi\)
\(12\) −0.545074 + 0.397937i −0.157349 + 0.114875i
\(13\) 3.09393 + 1.85137i 0.858102 + 0.513479i
\(14\) −3.04953 + 5.28194i −0.815020 + 1.41166i
\(15\) −1.02129 1.39891i −0.263697 0.361198i
\(16\) 1.53445 + 2.65774i 0.383612 + 0.664436i
\(17\) 2.36135 0.572711 0.286356 0.958123i \(-0.407556\pi\)
0.286356 + 0.958123i \(0.407556\pi\)
\(18\) −3.62604 1.15976i −0.854666 0.273359i
\(19\) 4.60952i 1.05750i −0.848779 0.528748i \(-0.822662\pi\)
0.848779 0.528748i \(-0.177338\pi\)
\(20\) 0.337439 0.194820i 0.0754536 0.0435632i
\(21\) 8.27694 0.889188i 1.80618 0.194037i
\(22\) 2.38630 4.13319i 0.508761 0.881200i
\(23\) 4.07745 7.06236i 0.850208 1.47260i −0.0308128 0.999525i \(-0.509810\pi\)
0.881021 0.473078i \(-0.156857\pi\)
\(24\) 2.12529 4.80317i 0.433823 0.980443i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −4.57488 0.0715345i −0.897208 0.0140291i
\(27\) 1.63975 + 4.93064i 0.315570 + 0.948902i
\(28\) 1.87269i 0.353905i
\(29\) 2.72644 + 4.72233i 0.506287 + 0.876914i 0.999974 + 0.00727453i \(0.00231558\pi\)
−0.493687 + 0.869640i \(0.664351\pi\)
\(30\) 2.01000 + 0.889376i 0.366974 + 0.162377i
\(31\) −1.31066 0.756711i −0.235402 0.135909i 0.377660 0.925944i \(-0.376729\pi\)
−0.613062 + 0.790035i \(0.710062\pi\)
\(32\) 1.87969 + 1.08524i 0.332285 + 0.191845i
\(33\) −6.47683 + 0.695803i −1.12747 + 0.121124i
\(34\) −2.59509 + 1.49827i −0.445054 + 0.256952i
\(35\) −4.80619 −0.812395
\(36\) −1.14225 + 0.248288i −0.190375 + 0.0413813i
\(37\) 9.70426i 1.59537i 0.603074 + 0.797685i \(0.293942\pi\)
−0.603074 + 0.797685i \(0.706058\pi\)
\(38\) 2.92474 + 5.06579i 0.474455 + 0.821780i
\(39\) 3.60302 + 5.10081i 0.576944 + 0.816783i
\(40\) −1.51623 + 2.62618i −0.239736 + 0.415236i
\(41\) 3.95889 + 2.28566i 0.618274 + 0.356961i 0.776197 0.630491i \(-0.217146\pi\)
−0.157923 + 0.987451i \(0.550480\pi\)
\(42\) −8.53205 + 6.22892i −1.31652 + 0.961144i
\(43\) −0.981245 1.69957i −0.149638 0.259181i 0.781455 0.623961i \(-0.214478\pi\)
−0.931094 + 0.364780i \(0.881144\pi\)
\(44\) 1.46541i 0.220918i
\(45\) −0.637223 2.93154i −0.0949916 0.437009i
\(46\) 10.3486i 1.52581i
\(47\) −8.48359 + 4.89800i −1.23746 + 0.714447i −0.968574 0.248726i \(-0.919988\pi\)
−0.268884 + 0.963173i \(0.586655\pi\)
\(48\) 0.567773 + 5.28508i 0.0819510 + 0.762835i
\(49\) 8.04974 13.9426i 1.14996 1.99179i
\(50\) −1.09899 0.634500i −0.155420 0.0897318i
\(51\) 3.74019 + 1.65495i 0.523732 + 0.231739i
\(52\) −1.22749 + 0.683327i −0.170222 + 0.0947605i
\(53\) −8.05166 −1.10598 −0.552990 0.833188i \(-0.686513\pi\)
−0.552990 + 0.833188i \(0.686513\pi\)
\(54\) −4.93055 4.37828i −0.670963 0.595809i
\(55\) 3.76092 0.507122
\(56\) −7.28728 12.6219i −0.973803 1.68668i
\(57\) 3.23057 7.30112i 0.427900 0.967056i
\(58\) −5.99263 3.45985i −0.786871 0.454300i
\(59\) −0.839155 0.484487i −0.109249 0.0630748i 0.444380 0.895838i \(-0.353424\pi\)
−0.553629 + 0.832764i \(0.686757\pi\)
\(60\) 0.671017 0.0720870i 0.0866279 0.00930639i
\(61\) 4.76134 + 8.24689i 0.609628 + 1.05591i 0.991302 + 0.131609i \(0.0420144\pi\)
−0.381674 + 0.924297i \(0.624652\pi\)
\(62\) 1.92053 0.243908
\(63\) 13.7332 + 4.39248i 1.73022 + 0.553400i
\(64\) −8.89213 −1.11152
\(65\) −1.75374 3.15030i −0.217524 0.390747i
\(66\) 6.67646 4.87422i 0.821815 0.599976i
\(67\) −1.76799 1.02075i −0.215994 0.124704i 0.388100 0.921617i \(-0.373132\pi\)
−0.604094 + 0.796913i \(0.706465\pi\)
\(68\) −0.460039 + 0.796811i −0.0557879 + 0.0966275i
\(69\) 11.4080 8.32855i 1.37336 1.00264i
\(70\) 5.28194 3.04953i 0.631312 0.364488i
\(71\) 7.78951i 0.924445i 0.886764 + 0.462223i \(0.152948\pi\)
−0.886764 + 0.462223i \(0.847052\pi\)
\(72\) 6.73259 6.11835i 0.793443 0.721054i
\(73\) 1.99976i 0.234055i 0.993129 + 0.117027i \(0.0373365\pi\)
−0.993129 + 0.117027i \(0.962663\pi\)
\(74\) −6.15735 10.6648i −0.715777 1.23976i
\(75\) 0.185009 + 1.72214i 0.0213630 + 0.198856i
\(76\) 1.55543 + 0.898028i 0.178420 + 0.103011i
\(77\) −9.03784 + 15.6540i −1.02996 + 1.78394i
\(78\) −7.19613 3.31960i −0.814801 0.375871i
\(79\) −3.61917 6.26859i −0.407189 0.705271i 0.587385 0.809308i \(-0.300157\pi\)
−0.994573 + 0.104036i \(0.966824\pi\)
\(80\) 3.06890i 0.343113i
\(81\) −0.858397 + 8.95897i −0.0953774 + 0.995441i
\(82\) −5.80101 −0.640615
\(83\) −3.04623 + 1.75874i −0.334367 + 0.193047i −0.657778 0.753211i \(-0.728504\pi\)
0.323411 + 0.946259i \(0.395170\pi\)
\(84\) −1.31247 + 2.96619i −0.143202 + 0.323638i
\(85\) −2.04499 1.18067i −0.221810 0.128062i
\(86\) 2.15675 + 1.24520i 0.232568 + 0.134273i
\(87\) 1.00883 + 9.39062i 0.108158 + 1.00678i
\(88\) 5.70240 + 9.87685i 0.607878 + 1.05288i
\(89\) 17.2510i 1.82860i −0.405037 0.914300i \(-0.632742\pi\)
0.405037 0.914300i \(-0.367258\pi\)
\(90\) 2.56036 + 2.81741i 0.269886 + 0.296981i
\(91\) 17.3269 + 0.270929i 1.81635 + 0.0284011i
\(92\) 1.58874 + 2.75178i 0.165638 + 0.286893i
\(93\) −1.54565 2.11715i −0.160276 0.219538i
\(94\) 6.21556 10.7657i 0.641086 1.11039i
\(95\) −2.30476 + 3.99196i −0.236463 + 0.409566i
\(96\) 2.21669 + 3.03631i 0.226240 + 0.309892i
\(97\) −2.99976 + 1.73191i −0.304580 + 0.175849i −0.644498 0.764606i \(-0.722934\pi\)
0.339919 + 0.940455i \(0.389600\pi\)
\(98\) 20.4302i 2.06377i
\(99\) −10.7465 3.43718i −1.08006 0.345450i
\(100\) −0.389641 −0.0389641
\(101\) −5.84878 10.1304i −0.581976 1.00801i −0.995245 0.0974027i \(-0.968947\pi\)
0.413269 0.910609i \(-0.364387\pi\)
\(102\) −5.16048 + 0.554388i −0.510964 + 0.0548926i
\(103\) 8.04590 13.9359i 0.792786 1.37315i −0.131450 0.991323i \(-0.541963\pi\)
0.924236 0.381823i \(-0.124704\pi\)
\(104\) 5.61420 9.38220i 0.550518 0.920001i
\(105\) −7.61264 3.36841i −0.742917 0.328723i
\(106\) 8.84865 5.10877i 0.859457 0.496208i
\(107\) 8.39630 0.811701 0.405850 0.913940i \(-0.366975\pi\)
0.405850 + 0.913940i \(0.366975\pi\)
\(108\) −1.98325 0.407274i −0.190838 0.0391900i
\(109\) 10.4083i 0.996935i −0.866908 0.498468i \(-0.833896\pi\)
0.866908 0.498468i \(-0.166104\pi\)
\(110\) −4.13319 + 2.38630i −0.394085 + 0.227525i
\(111\) −6.80122 + 15.3708i −0.645543 + 1.45893i
\(112\) 12.7736 + 7.37486i 1.20699 + 0.696859i
\(113\) 2.73296 4.73363i 0.257095 0.445302i −0.708367 0.705844i \(-0.750568\pi\)
0.965463 + 0.260542i \(0.0839012\pi\)
\(114\) 1.08220 + 10.0736i 0.101358 + 0.943481i
\(115\) −7.06236 + 4.07745i −0.658568 + 0.380224i
\(116\) −2.12466 −0.197270
\(117\) 2.13200 + 10.6045i 0.197104 + 0.980383i
\(118\) 1.22963 0.113196
\(119\) 9.82860 5.67455i 0.900987 0.520185i
\(120\) −4.24214 + 3.09702i −0.387253 + 0.282718i
\(121\) 1.57225 2.72321i 0.142932 0.247565i
\(122\) −10.4653 6.04214i −0.947484 0.547030i
\(123\) 4.66867 + 6.39489i 0.420959 + 0.576608i
\(124\) 0.510687 0.294846i 0.0458611 0.0264779i
\(125\) 1.00000i 0.0894427i
\(126\) −17.8796 + 3.88646i −1.59285 + 0.346233i
\(127\) −10.9872 −0.974960 −0.487480 0.873134i \(-0.662084\pi\)
−0.487480 + 0.873134i \(0.662084\pi\)
\(128\) 6.01295 3.47158i 0.531475 0.306847i
\(129\) −0.363078 3.37969i −0.0319672 0.297565i
\(130\) 3.92620 + 2.34939i 0.344350 + 0.206055i
\(131\) −0.722965 + 1.25221i −0.0631657 + 0.109406i −0.895879 0.444298i \(-0.853453\pi\)
0.832713 + 0.553705i \(0.186786\pi\)
\(132\) 1.02703 2.32109i 0.0893913 0.202025i
\(133\) −11.0771 19.1861i −0.960507 1.66365i
\(134\) 2.59066 0.223799
\(135\) 1.04526 5.08994i 0.0899613 0.438072i
\(136\) 7.16068i 0.614023i
\(137\) 14.3803 8.30248i 1.22859 0.709329i 0.261858 0.965106i \(-0.415665\pi\)
0.966736 + 0.255777i \(0.0823314\pi\)
\(138\) −7.25278 + 16.3913i −0.617398 + 1.39532i
\(139\) −4.47056 + 7.74324i −0.379188 + 0.656773i −0.990944 0.134273i \(-0.957130\pi\)
0.611756 + 0.791046i \(0.290463\pi\)
\(140\) 0.936344 1.62180i 0.0791355 0.137067i
\(141\) −16.8701 + 1.81235i −1.42072 + 0.152627i
\(142\) −4.94244 8.56056i −0.414761 0.718387i
\(143\) −13.5585 0.212006i −1.13382 0.0177288i
\(144\) −2.80473 + 8.76908i −0.233727 + 0.730757i
\(145\) 5.45287i 0.452837i
\(146\) −1.26885 2.19771i −0.105011 0.181884i
\(147\) 22.5218 16.4423i 1.85757 1.35614i
\(148\) −3.27459 1.89059i −0.269170 0.155405i
\(149\) 10.4804 + 6.05087i 0.858589 + 0.495706i 0.863539 0.504281i \(-0.168243\pi\)
−0.00495067 + 0.999988i \(0.501576\pi\)
\(150\) −1.29602 1.77522i −0.105820 0.144946i
\(151\) −5.41249 + 3.12490i −0.440462 + 0.254301i −0.703794 0.710404i \(-0.748512\pi\)
0.263331 + 0.964705i \(0.415179\pi\)
\(152\) −13.9781 −1.13378
\(153\) 4.76431 + 5.24262i 0.385172 + 0.423841i
\(154\) 22.9380i 1.84840i
\(155\) 0.756711 + 1.31066i 0.0607805 + 0.105275i
\(156\) −2.42315 + 0.222056i −0.194007 + 0.0177787i
\(157\) −1.69828 + 2.94150i −0.135537 + 0.234758i −0.925803 0.378007i \(-0.876609\pi\)
0.790265 + 0.612765i \(0.209943\pi\)
\(158\) 7.95483 + 4.59273i 0.632853 + 0.365378i
\(159\) −12.7532 5.64299i −1.01139 0.447518i
\(160\) −1.08524 1.87969i −0.0857956 0.148602i
\(161\) 39.1941i 3.08892i
\(162\) −4.74110 10.3904i −0.372496 0.816349i
\(163\) 12.7211i 0.996395i −0.867064 0.498197i \(-0.833995\pi\)
0.867064 0.498197i \(-0.166005\pi\)
\(164\) −1.54254 + 0.890588i −0.120452 + 0.0695432i
\(165\) 5.95700 + 2.63583i 0.463752 + 0.205199i
\(166\) 2.23184 3.86567i 0.173225 0.300034i
\(167\) −5.67167 3.27454i −0.438887 0.253391i 0.264239 0.964457i \(-0.414879\pi\)
−0.703125 + 0.711066i \(0.748213\pi\)
\(168\) −2.69642 25.0994i −0.208033 1.93646i
\(169\) 6.14483 + 11.4560i 0.472679 + 0.881235i
\(170\) 2.99655 0.229825
\(171\) 10.2340 9.30026i 0.782610 0.711209i
\(172\) 0.764666 0.0583052
\(173\) −0.135531 0.234747i −0.0103043 0.0178475i 0.860827 0.508897i \(-0.169947\pi\)
−0.871132 + 0.491050i \(0.836613\pi\)
\(174\) −7.06704 9.68006i −0.535751 0.733843i
\(175\) 4.16228 + 2.40310i 0.314639 + 0.181657i
\(176\) −9.99555 5.77094i −0.753443 0.435001i
\(177\) −0.989606 1.35551i −0.0743833 0.101886i
\(178\) 10.9457 + 18.9586i 0.820418 + 1.42101i
\(179\) −21.1297 −1.57931 −0.789654 0.613552i \(-0.789740\pi\)
−0.789654 + 0.613552i \(0.789740\pi\)
\(180\) 1.11336 + 0.356101i 0.0829850 + 0.0265422i
\(181\) −17.3149 −1.28701 −0.643504 0.765443i \(-0.722520\pi\)
−0.643504 + 0.765443i \(0.722520\pi\)
\(182\) −19.2139 + 10.6961i −1.42423 + 0.792850i
\(183\) 1.76178 + 16.3994i 0.130235 + 1.21228i
\(184\) −21.4163 12.3647i −1.57883 0.911537i
\(185\) 4.85213 8.40414i 0.356736 0.617884i
\(186\) 3.04197 + 1.34600i 0.223048 + 0.0986936i
\(187\) −7.69103 + 4.44042i −0.562424 + 0.324715i
\(188\) 3.81692i 0.278378i
\(189\) 18.6739 + 16.5823i 1.35833 + 1.20618i
\(190\) 5.84947i 0.424365i
\(191\) −0.526602 0.912101i −0.0381036 0.0659973i 0.846345 0.532636i \(-0.178798\pi\)
−0.884448 + 0.466638i \(0.845465\pi\)
\(192\) −14.0844 6.23203i −1.01646 0.449758i
\(193\) 2.18280 + 1.26024i 0.157121 + 0.0907140i 0.576499 0.817098i \(-0.304418\pi\)
−0.419378 + 0.907812i \(0.637752\pi\)
\(194\) 2.19780 3.80670i 0.157793 0.273305i
\(195\) −0.569899 6.21894i −0.0408113 0.445348i
\(196\) 3.13651 + 5.43259i 0.224036 + 0.388042i
\(197\) 5.98102i 0.426130i 0.977038 + 0.213065i \(0.0683446\pi\)
−0.977038 + 0.213065i \(0.931655\pi\)
\(198\) 13.9911 3.04121i 0.994303 0.216129i
\(199\) −14.3085 −1.01430 −0.507151 0.861857i \(-0.669301\pi\)
−0.507151 + 0.861857i \(0.669301\pi\)
\(200\) 2.62618 1.51623i 0.185699 0.107213i
\(201\) −2.08497 2.85588i −0.147062 0.201438i
\(202\) 12.8555 + 7.42210i 0.904507 + 0.522217i
\(203\) 22.6964 + 13.1038i 1.59298 + 0.919705i
\(204\) −1.28711 + 0.939669i −0.0901157 + 0.0657900i
\(205\) −2.28566 3.95889i −0.159638 0.276501i
\(206\) 20.4205i 1.42276i
\(207\) 23.9065 5.19649i 1.66161 0.361181i
\(208\) −0.172996 + 11.0637i −0.0119951 + 0.767131i
\(209\) 8.66800 + 15.0134i 0.599578 + 1.03850i
\(210\) 10.5034 1.12838i 0.724806 0.0778655i
\(211\) 10.5332 18.2440i 0.725135 1.25597i −0.233783 0.972289i \(-0.575110\pi\)
0.958918 0.283683i \(-0.0915562\pi\)
\(212\) 1.56863 2.71694i 0.107734 0.186600i
\(213\) −5.45927 + 12.3380i −0.374063 + 0.845385i
\(214\) −9.22741 + 5.32745i −0.630773 + 0.364177i
\(215\) 1.96249i 0.133841i
\(216\) 14.9519 4.97246i 1.01735 0.338333i
\(217\) −7.27380 −0.493778
\(218\) 6.60407 + 11.4386i 0.447284 + 0.774719i
\(219\) −1.40153 + 3.16747i −0.0947068 + 0.214038i
\(220\) −0.732703 + 1.26908i −0.0493988 + 0.0855613i
\(221\) 7.30585 + 4.37174i 0.491445 + 0.294075i
\(222\) −2.27833 21.2077i −0.152911 1.42336i
\(223\) −7.84497 + 4.52930i −0.525338 + 0.303304i −0.739116 0.673578i \(-0.764757\pi\)
0.213778 + 0.976882i \(0.431423\pi\)
\(224\) 10.4317 0.696999
\(225\) −0.913921 + 2.85740i −0.0609280 + 0.190493i
\(226\) 6.93625i 0.461393i
\(227\) −4.52858 + 2.61457i −0.300572 + 0.173535i −0.642700 0.766118i \(-0.722186\pi\)
0.342128 + 0.939653i \(0.388852\pi\)
\(228\) 1.83430 + 2.51253i 0.121479 + 0.166396i
\(229\) −6.95692 4.01658i −0.459726 0.265423i 0.252203 0.967674i \(-0.418845\pi\)
−0.711929 + 0.702251i \(0.752178\pi\)
\(230\) 5.17429 8.96213i 0.341182 0.590945i
\(231\) −25.2863 + 18.4606i −1.66372 + 1.21462i
\(232\) 14.3202 8.26779i 0.940169 0.542807i
\(233\) −3.65893 −0.239705 −0.119852 0.992792i \(-0.538242\pi\)
−0.119852 + 0.992792i \(0.538242\pi\)
\(234\) −9.07157 10.3014i −0.593027 0.673423i
\(235\) 9.79600 0.639021
\(236\) 0.326969 0.188776i 0.0212839 0.0122883i
\(237\) −1.33916 12.4654i −0.0869876 0.809718i
\(238\) −7.20100 + 12.4725i −0.466771 + 0.808472i
\(239\) 2.24928 + 1.29862i 0.145494 + 0.0840009i 0.570980 0.820964i \(-0.306563\pi\)
−0.425486 + 0.904965i \(0.639897\pi\)
\(240\) 2.15083 4.86090i 0.138836 0.313770i
\(241\) −26.1006 + 15.0692i −1.68129 + 0.970691i −0.720478 + 0.693478i \(0.756078\pi\)
−0.960808 + 0.277214i \(0.910589\pi\)
\(242\) 3.99036i 0.256510i
\(243\) −7.63851 + 13.5887i −0.490011 + 0.871716i
\(244\) −3.71043 −0.237536
\(245\) −13.9426 + 8.04974i −0.890758 + 0.514279i
\(246\) −9.18836 4.06563i −0.585828 0.259215i
\(247\) 8.53394 14.2615i 0.543001 0.907439i
\(248\) −2.29469 + 3.97452i −0.145713 + 0.252382i
\(249\) −6.05761 + 0.650766i −0.383885 + 0.0412406i
\(250\) 0.634500 + 1.09899i 0.0401293 + 0.0695060i
\(251\) 16.2893 1.02817 0.514087 0.857738i \(-0.328131\pi\)
0.514087 + 0.857738i \(0.328131\pi\)
\(252\) −4.15771 + 3.77838i −0.261911 + 0.238016i
\(253\) 30.6699i 1.92820i
\(254\) 12.0748 6.97140i 0.757642 0.437425i
\(255\) −2.41163 3.30332i −0.151022 0.206862i
\(256\) 4.48670 7.77119i 0.280419 0.485699i
\(257\) −8.22548 + 14.2469i −0.513091 + 0.888700i 0.486794 + 0.873517i \(0.338166\pi\)
−0.999885 + 0.0151829i \(0.995167\pi\)
\(258\) 2.54343 + 3.48385i 0.158347 + 0.216895i
\(259\) 23.3203 + 40.3919i 1.44905 + 2.50983i
\(260\) 1.40470 + 0.0219644i 0.0871157 + 0.00136217i
\(261\) −4.98350 + 15.5811i −0.308471 + 0.964443i
\(262\) 1.83488i 0.113360i
\(263\) 3.08187 + 5.33795i 0.190036 + 0.329152i 0.945262 0.326312i \(-0.105806\pi\)
−0.755226 + 0.655465i \(0.772473\pi\)
\(264\) 2.10999 + 19.6407i 0.129861 + 1.20880i
\(265\) 6.97294 + 4.02583i 0.428344 + 0.247305i
\(266\) 24.3472 + 14.0568i 1.49282 + 0.861880i
\(267\) 12.0903 27.3242i 0.739916 1.67222i
\(268\) 0.688880 0.397725i 0.0420801 0.0242949i
\(269\) 14.3039 0.872126 0.436063 0.899916i \(-0.356373\pi\)
0.436063 + 0.899916i \(0.356373\pi\)
\(270\) 2.08084 + 6.25698i 0.126636 + 0.380788i
\(271\) 24.0122i 1.45864i −0.684174 0.729319i \(-0.739837\pi\)
0.684174 0.729319i \(-0.260163\pi\)
\(272\) 3.62337 + 6.27586i 0.219699 + 0.380530i
\(273\) 27.2545 + 12.5726i 1.64952 + 0.760930i
\(274\) −10.5358 + 18.2486i −0.636494 + 1.10244i
\(275\) −3.25705 1.88046i −0.196407 0.113396i
\(276\) 0.587863 + 5.47208i 0.0353852 + 0.329380i
\(277\) −5.30432 9.18735i −0.318706 0.552015i 0.661513 0.749934i \(-0.269915\pi\)
−0.980218 + 0.197920i \(0.936582\pi\)
\(278\) 11.3463i 0.680505i
\(279\) −0.964387 4.43666i −0.0577363 0.265616i
\(280\) 14.5746i 0.870996i
\(281\) −2.33309 + 1.34701i −0.139181 + 0.0803560i −0.567973 0.823047i \(-0.692272\pi\)
0.428793 + 0.903403i \(0.358939\pi\)
\(282\) 17.3901 12.6958i 1.03556 0.756025i
\(283\) −5.09249 + 8.82045i −0.302717 + 0.524321i −0.976750 0.214380i \(-0.931227\pi\)
0.674033 + 0.738701i \(0.264560\pi\)
\(284\) −2.62848 1.51756i −0.155972 0.0900504i
\(285\) −6.44832 + 4.70767i −0.381965 + 0.278858i
\(286\) 15.0351 8.36989i 0.889046 0.494922i
\(287\) 21.9707 1.29689
\(288\) 1.38308 + 6.36284i 0.0814985 + 0.374934i
\(289\) −11.4240 −0.672002
\(290\) 3.45985 + 5.99263i 0.203169 + 0.351899i
\(291\) −5.96520 + 0.640838i −0.349686 + 0.0375666i
\(292\) −0.674798 0.389595i −0.0394896 0.0227993i
\(293\) 6.12927 + 3.53873i 0.358076 + 0.206735i 0.668236 0.743949i \(-0.267050\pi\)
−0.310161 + 0.950684i \(0.600383\pi\)
\(294\) −14.3185 + 32.3599i −0.835072 + 1.88727i
\(295\) 0.484487 + 0.839155i 0.0282079 + 0.0488575i
\(296\) 29.4277 1.71045
\(297\) −14.6126 12.9759i −0.847910 0.752936i
\(298\) −15.3571 −0.889613
\(299\) 25.6904 14.3016i 1.48572 0.827081i
\(300\) −0.617161 0.273079i −0.0356318 0.0157662i
\(301\) −8.16844 4.71605i −0.470821 0.271829i
\(302\) 3.96550 6.86845i 0.228189 0.395235i
\(303\) −2.16415 20.1449i −0.124327 1.15729i
\(304\) 12.2509 7.07307i 0.702638 0.405668i
\(305\) 9.52269i 0.545268i
\(306\) −8.56235 2.73861i −0.489477 0.156556i
\(307\) 18.7363i 1.06934i 0.845061 + 0.534670i \(0.179564\pi\)
−0.845061 + 0.534670i \(0.820436\pi\)
\(308\) −3.52151 6.09944i −0.200657 0.347548i
\(309\) 22.5110 16.4344i 1.28061 0.934923i
\(310\) −1.66323 0.960266i −0.0944651 0.0545394i
\(311\) 0.812896 1.40798i 0.0460951 0.0798391i −0.842057 0.539388i \(-0.818656\pi\)
0.888152 + 0.459549i \(0.151989\pi\)
\(312\) 15.4680 10.9260i 0.875701 0.618562i
\(313\) −11.9103 20.6293i −0.673212 1.16604i −0.976988 0.213294i \(-0.931581\pi\)
0.303776 0.952744i \(-0.401753\pi\)
\(314\) 4.31023i 0.243240i
\(315\) −9.69708 10.6706i −0.546369 0.601221i
\(316\) 2.82035 0.158657
\(317\) −22.5579 + 13.0238i −1.26698 + 0.731489i −0.974415 0.224758i \(-0.927841\pi\)
−0.292561 + 0.956247i \(0.594507\pi\)
\(318\) 17.5961 1.89034i 0.986738 0.106005i
\(319\) −17.7603 10.2539i −0.994385 0.574108i
\(320\) 7.70081 + 4.44606i 0.430488 + 0.248543i
\(321\) 13.2991 + 5.88453i 0.742283 + 0.328443i
\(322\) 24.8686 + 43.0737i 1.38587 + 2.40040i
\(323\) 10.8847i 0.605639i
\(324\) −2.85587 2.03505i −0.158660 0.113058i
\(325\) −0.0563708 + 3.60511i −0.00312689 + 0.199976i
\(326\) 8.07154 + 13.9803i 0.447041 + 0.774299i
\(327\) 7.29465 16.4860i 0.403395 0.911676i
\(328\) 6.93117 12.0051i 0.382710 0.662873i
\(329\) −23.5407 + 40.7737i −1.29784 + 2.24793i
\(330\) −8.21909 + 0.882973i −0.452446 + 0.0486061i
\(331\) −10.7862 + 6.22740i −0.592862 + 0.342289i −0.766228 0.642568i \(-0.777869\pi\)
0.173367 + 0.984857i \(0.444535\pi\)
\(332\) 1.37056i 0.0752190i
\(333\) −21.5452 + 19.5795i −1.18067 + 1.07295i
\(334\) 8.31077 0.454745
\(335\) 1.02075 + 1.76799i 0.0557695 + 0.0965955i
\(336\) 15.0638 + 20.6336i 0.821797 + 1.12565i
\(337\) −11.8277 + 20.4862i −0.644296 + 1.11595i 0.340167 + 0.940365i \(0.389516\pi\)
−0.984464 + 0.175589i \(0.943817\pi\)
\(338\) −14.0219 8.69114i −0.762693 0.472736i
\(339\) 7.64636 5.58231i 0.415293 0.303189i
\(340\) 0.796811 0.460039i 0.0432131 0.0249491i
\(341\) 5.69186 0.308231
\(342\) −5.34595 + 16.7143i −0.289076 + 0.903806i
\(343\) 43.7339i 2.36141i
\(344\) −5.15385 + 2.97558i −0.277877 + 0.160432i
\(345\) −14.0439 + 1.50873i −0.756098 + 0.0812273i
\(346\) 0.297894 + 0.171989i 0.0160149 + 0.00924619i
\(347\) 0.700524 1.21334i 0.0376061 0.0651357i −0.846610 0.532214i \(-0.821360\pi\)
0.884216 + 0.467078i \(0.154693\pi\)
\(348\) −3.36530 1.48907i −0.180399 0.0798223i
\(349\) 13.7389 7.93218i 0.735429 0.424600i −0.0849760 0.996383i \(-0.527081\pi\)
0.820405 + 0.571783i \(0.193748\pi\)
\(350\) −6.09905 −0.326008
\(351\) −4.05519 + 18.2909i −0.216450 + 0.976294i
\(352\) −8.16298 −0.435088
\(353\) −3.55731 + 2.05381i −0.189337 + 0.109313i −0.591672 0.806179i \(-0.701532\pi\)
0.402335 + 0.915492i \(0.368199\pi\)
\(354\) 1.94763 + 0.861782i 0.103516 + 0.0458032i
\(355\) 3.89476 6.74592i 0.206712 0.358036i
\(356\) 5.82115 + 3.36084i 0.308520 + 0.178124i
\(357\) 19.5447 2.09968i 1.03442 0.111127i
\(358\) 23.2212 13.4068i 1.22728 0.708571i
\(359\) 1.03202i 0.0544682i −0.999629 0.0272341i \(-0.991330\pi\)
0.999629 0.0272341i \(-0.00866995\pi\)
\(360\) −8.88977 + 1.93235i −0.468532 + 0.101844i
\(361\) −2.24763 −0.118296
\(362\) 19.0288 10.9863i 1.00013 0.577428i
\(363\) 4.39888 3.21145i 0.230881 0.168557i
\(364\) −3.46705 + 5.79397i −0.181723 + 0.303687i
\(365\) 0.999882 1.73185i 0.0523362 0.0906490i
\(366\) −12.3416 16.9049i −0.645106 0.883632i
\(367\) −2.54555 4.40902i −0.132877 0.230149i 0.791908 0.610641i \(-0.209088\pi\)
−0.924784 + 0.380492i \(0.875755\pi\)
\(368\) 25.0266 1.30460
\(369\) 2.91295 + 13.4010i 0.151642 + 0.697631i
\(370\) 12.3147i 0.640211i
\(371\) −33.5133 + 19.3489i −1.73992 + 1.00455i
\(372\) 1.01553 0.109098i 0.0526529 0.00565647i
\(373\) −17.7051 + 30.6661i −0.916734 + 1.58783i −0.112391 + 0.993664i \(0.535851\pi\)
−0.804343 + 0.594165i \(0.797482\pi\)
\(374\) 5.63489 9.75991i 0.291373 0.504673i
\(375\) 0.700848 1.58392i 0.0361917 0.0817934i
\(376\) 14.8530 + 25.7261i 0.765983 + 1.32672i
\(377\) −0.307383 + 19.6582i −0.0158310 + 1.01245i
\(378\) −31.0438 6.37508i −1.59672 0.327898i
\(379\) 22.3002i 1.14549i 0.819735 + 0.572743i \(0.194121\pi\)
−0.819735 + 0.572743i \(0.805879\pi\)
\(380\) −0.898028 1.55543i −0.0460678 0.0797918i
\(381\) −17.4029 7.70039i −0.891580 0.394503i
\(382\) 1.15746 + 0.668257i 0.0592206 + 0.0341910i
\(383\) −13.8162 7.97680i −0.705976 0.407595i 0.103593 0.994620i \(-0.466966\pi\)
−0.809569 + 0.587024i \(0.800299\pi\)
\(384\) 11.9571 1.28454i 0.610183 0.0655516i
\(385\) 15.6540 9.03784i 0.797802 0.460611i
\(386\) −3.19848 −0.162799
\(387\) 1.79356 5.60762i 0.0911718 0.285052i
\(388\) 1.34965i 0.0685180i
\(389\) 3.10375 + 5.37586i 0.157366 + 0.272567i 0.933918 0.357487i \(-0.116366\pi\)
−0.776552 + 0.630053i \(0.783033\pi\)
\(390\) 4.57223 + 6.47293i 0.231524 + 0.327769i
\(391\) 9.62829 16.6767i 0.486923 0.843376i
\(392\) −42.2802 24.4105i −2.13547 1.23291i
\(393\) −2.02273 + 1.47672i −0.102033 + 0.0744906i
\(394\) −3.79495 6.57305i −0.191187 0.331146i
\(395\) 7.23834i 0.364200i
\(396\) 3.25347 2.95664i 0.163493 0.148577i
\(397\) 10.2788i 0.515877i 0.966161 + 0.257938i \(0.0830432\pi\)
−0.966161 + 0.257938i \(0.916957\pi\)
\(398\) 15.7248 9.07873i 0.788214 0.455076i
\(399\) −4.09873 38.1527i −0.205193 1.91002i
\(400\) −1.53445 + 2.65774i −0.0767225 + 0.132887i
\(401\) −3.87770 2.23879i −0.193643 0.111800i 0.400044 0.916496i \(-0.368995\pi\)
−0.593687 + 0.804696i \(0.702328\pi\)
\(402\) 4.10340 + 1.81566i 0.204659 + 0.0905568i
\(403\) −2.65414 4.76774i −0.132212 0.237498i
\(404\) 4.55785 0.226761
\(405\) 5.22288 7.32950i 0.259527 0.364206i
\(406\) −33.2574 −1.65054
\(407\) −18.2485 31.6073i −0.904543 1.56671i
\(408\) 5.01855 11.3420i 0.248455 0.561511i
\(409\) −5.44839 3.14563i −0.269406 0.155541i 0.359212 0.933256i \(-0.383046\pi\)
−0.628618 + 0.777715i \(0.716379\pi\)
\(410\) 5.02382 + 2.90051i 0.248109 + 0.143246i
\(411\) 28.5961 3.07207i 1.41054 0.151534i
\(412\) 3.13501 + 5.43000i 0.154451 + 0.267517i
\(413\) −4.65707 −0.229160
\(414\) −22.9757 + 20.8795i −1.12919 + 1.02617i
\(415\) 3.51749 0.172667
\(416\) 3.80644 + 6.83765i 0.186626 + 0.335244i
\(417\) −12.5079 + 9.13151i −0.612513 + 0.447172i
\(418\) −19.0520 10.9997i −0.931865 0.538012i
\(419\) 10.8868 18.8564i 0.531853 0.921197i −0.467455 0.884017i \(-0.654829\pi\)
0.999309 0.0371800i \(-0.0118375\pi\)
\(420\) 2.61973 1.91256i 0.127830 0.0933236i
\(421\) 26.7567 15.4480i 1.30404 0.752889i 0.322948 0.946417i \(-0.395326\pi\)
0.981095 + 0.193527i \(0.0619929\pi\)
\(422\) 26.7332i 1.30135i
\(423\) −27.9911 8.95277i −1.36097 0.435298i
\(424\) 24.4163i 1.18576i
\(425\) 1.18067 + 2.04499i 0.0572711 + 0.0991965i
\(426\) −1.82879 17.0232i −0.0886052 0.824776i
\(427\) 39.6361 + 22.8839i 1.91813 + 1.10743i
\(428\) −1.63577 + 2.83324i −0.0790679 + 0.136950i
\(429\) −21.3271 9.83827i −1.02968 0.474996i
\(430\) −1.24520 2.15675i −0.0600488 0.104008i
\(431\) 23.3922i 1.12676i −0.826197 0.563382i \(-0.809500\pi\)
0.826197 0.563382i \(-0.190500\pi\)
\(432\) −10.5883 + 11.9239i −0.509428 + 0.573687i
\(433\) 19.7872 0.950912 0.475456 0.879739i \(-0.342283\pi\)
0.475456 + 0.879739i \(0.342283\pi\)
\(434\) 7.99380 4.61522i 0.383715 0.221538i
\(435\) 3.82164 8.63693i 0.183234 0.414109i
\(436\) 3.51217 + 2.02775i 0.168202 + 0.0971117i
\(437\) −32.5540 18.7951i −1.55727 0.899091i
\(438\) −0.469497 4.37028i −0.0224334 0.208820i
\(439\) −12.9397 22.4123i −0.617580 1.06968i −0.989926 0.141586i \(-0.954780\pi\)
0.372346 0.928094i \(-0.378553\pi\)
\(440\) 11.4048i 0.543703i
\(441\) 47.1963 10.2590i 2.24744 0.488522i
\(442\) −10.8029 0.168918i −0.513841 0.00803460i
\(443\) 9.98560 + 17.2956i 0.474430 + 0.821737i 0.999571 0.0292778i \(-0.00932075\pi\)
−0.525141 + 0.851015i \(0.675987\pi\)
\(444\) −3.86169 5.28954i −0.183268 0.251030i
\(445\) −8.62549 + 14.9398i −0.408887 + 0.708214i
\(446\) 5.74768 9.95527i 0.272160 0.471396i
\(447\) 12.3594 + 16.9293i 0.584581 + 0.800728i
\(448\) −37.0116 + 21.3686i −1.74863 + 1.00957i
\(449\) 7.58613i 0.358012i −0.983848 0.179006i \(-0.942712\pi\)
0.983848 0.179006i \(-0.0572881\pi\)
\(450\) −0.808635 3.72013i −0.0381194 0.175368i
\(451\) −17.1924 −0.809558
\(452\) 1.06487 + 1.84441i 0.0500874 + 0.0867540i
\(453\) −10.7631 + 1.15627i −0.505692 + 0.0543263i
\(454\) 3.31789 5.74676i 0.155716 0.269709i
\(455\) −14.8700 8.89806i −0.697118 0.417147i
\(456\) −22.1403 9.79656i −1.03681 0.458766i
\(457\) 21.0084 12.1292i 0.982732 0.567380i 0.0796380 0.996824i \(-0.474624\pi\)
0.903094 + 0.429443i \(0.141290\pi\)
\(458\) 10.1941 0.476338
\(459\) 3.87202 + 11.6430i 0.180730 + 0.543447i
\(460\) 3.17748i 0.148151i
\(461\) 3.40786 1.96753i 0.158720 0.0916369i −0.418536 0.908200i \(-0.637457\pi\)
0.577256 + 0.816563i \(0.304123\pi\)
\(462\) 16.0761 36.3321i 0.747927 1.69032i
\(463\) 23.1586 + 13.3706i 1.07627 + 0.621385i 0.929888 0.367843i \(-0.119903\pi\)
0.146383 + 0.989228i \(0.453237\pi\)
\(464\) −8.36716 + 14.4923i −0.388436 + 0.672790i
\(465\) 0.279996 + 2.60633i 0.0129845 + 0.120866i
\(466\) 4.02112 2.32159i 0.186275 0.107546i
\(467\) −20.5048 −0.948851 −0.474426 0.880296i \(-0.657344\pi\)
−0.474426 + 0.880296i \(0.657344\pi\)
\(468\) −3.99371 1.34654i −0.184609 0.0622440i
\(469\) −9.81183 −0.453068
\(470\) −10.7657 + 6.21556i −0.496583 + 0.286702i
\(471\) −4.75149 + 3.46888i −0.218937 + 0.159838i
\(472\) −1.46918 + 2.54470i −0.0676246 + 0.117129i
\(473\) 6.39193 + 3.69038i 0.293901 + 0.169684i
\(474\) 9.38104 + 12.8497i 0.430885 + 0.590204i
\(475\) 3.99196 2.30476i 0.183164 0.105750i
\(476\) 4.42207i 0.202685i
\(477\) −16.2452 17.8761i −0.743817 0.818491i
\(478\) −3.29590 −0.150751
\(479\) −6.33700 + 3.65867i −0.289545 + 0.167169i −0.637737 0.770254i \(-0.720129\pi\)
0.348192 + 0.937423i \(0.386796\pi\)
\(480\) −0.401557 3.73787i −0.0183285 0.170609i
\(481\) −17.9662 + 30.0243i −0.819189 + 1.36899i
\(482\) 19.1228 33.1216i 0.871019 1.50865i
\(483\) 27.4691 62.0804i 1.24989 2.82475i
\(484\) 0.612612 + 1.06107i 0.0278460 + 0.0482307i
\(485\) 3.46383 0.157284
\(486\) −0.227415 19.7804i −0.0103157 0.897259i
\(487\) 13.1949i 0.597920i 0.954266 + 0.298960i \(0.0966397\pi\)
−0.954266 + 0.298960i \(0.903360\pi\)
\(488\) 25.0083 14.4385i 1.13207 0.653602i
\(489\) 8.91558 20.1493i 0.403176 0.911181i
\(490\) 10.2151 17.6931i 0.461472 0.799293i
\(491\) 6.20984 10.7558i 0.280246 0.485401i −0.691199 0.722664i \(-0.742917\pi\)
0.971445 + 0.237264i \(0.0762505\pi\)
\(492\) −3.06744 + 0.329533i −0.138291 + 0.0148565i
\(493\) 6.43807 + 11.1511i 0.289956 + 0.502219i
\(494\) −0.329739 + 21.0880i −0.0148357 + 0.948794i
\(495\) 7.58811 + 8.34991i 0.341060 + 0.375301i
\(496\) 4.64454i 0.208546i
\(497\) 18.7190 + 32.4222i 0.839660 + 1.45433i
\(498\) 6.24431 4.55873i 0.279814 0.204282i
\(499\) 1.11076 + 0.641296i 0.0497244 + 0.0287084i 0.524656 0.851314i \(-0.324194\pi\)
−0.474932 + 0.880023i \(0.657527\pi\)
\(500\) 0.337439 + 0.194820i 0.0150907 + 0.00871263i
\(501\) −6.68853 9.16160i −0.298821 0.409310i
\(502\) −17.9017 + 10.3356i −0.798994 + 0.461299i
\(503\) 0.888877 0.0396331 0.0198165 0.999804i \(-0.493692\pi\)
0.0198165 + 0.999804i \(0.493692\pi\)
\(504\) 13.3200 41.6454i 0.593319 1.85503i
\(505\) 11.6976i 0.520535i
\(506\) −19.4601 33.7058i −0.865105 1.49841i
\(507\) 1.70398 + 22.4521i 0.0756765 + 0.997132i
\(508\) 2.14054 3.70752i 0.0949711 0.164495i
\(509\) 17.0350 + 9.83516i 0.755063 + 0.435936i 0.827520 0.561436i \(-0.189751\pi\)
−0.0724576 + 0.997371i \(0.523084\pi\)
\(510\) 4.74630 + 2.10013i 0.210170 + 0.0929952i
\(511\) 4.80563 + 8.32359i 0.212588 + 0.368214i
\(512\) 25.2735i 1.11694i
\(513\) 22.7279 7.55845i 1.00346 0.333714i
\(514\) 20.8762i 0.920812i
\(515\) −13.9359 + 8.04590i −0.614089 + 0.354545i
\(516\) 1.21117 + 0.535915i 0.0533189 + 0.0235923i
\(517\) 18.4210 31.9061i 0.810153 1.40323i
\(518\) −51.2573 29.5934i −2.25212 1.30026i
\(519\) −0.0501490 0.466808i −0.00220130 0.0204906i
\(520\) −9.55314 + 5.31812i −0.418933 + 0.233215i
\(521\) −22.9486 −1.00539 −0.502697 0.864462i \(-0.667659\pi\)
−0.502697 + 0.864462i \(0.667659\pi\)
\(522\) −4.40939 20.2854i −0.192994 0.887867i
\(523\) −9.07474 −0.396811 −0.198405 0.980120i \(-0.563576\pi\)
−0.198405 + 0.980120i \(0.563576\pi\)
\(524\) −0.281697 0.487913i −0.0123060 0.0213146i
\(525\) 4.90853 + 6.72345i 0.214226 + 0.293435i
\(526\) −6.77386 3.91089i −0.295354 0.170523i
\(527\) −3.09493 1.78686i −0.134817 0.0778368i
\(528\) −11.7876 16.1461i −0.512991 0.702668i
\(529\) −21.7513 37.6743i −0.945707 1.63801i
\(530\) −10.2175 −0.443822
\(531\) −0.617452 2.84059i −0.0267951 0.123271i
\(532\) 8.63219 0.374253
\(533\) 8.01691 + 14.4011i 0.347251 + 0.623779i
\(534\) 4.05012 + 37.7002i 0.175266 + 1.63145i
\(535\) −7.27141 4.19815i −0.314370 0.181502i
\(536\) −3.09537 + 5.36134i −0.133700 + 0.231575i
\(537\) −33.4678 14.8087i −1.44424 0.639044i
\(538\) −15.7198 + 9.07583i −0.677729 + 0.391287i
\(539\) 60.5488i 2.60802i
\(540\) 1.51390 + 1.34433i 0.0651481 + 0.0578509i
\(541\) 27.0746i 1.16403i 0.813178 + 0.582015i \(0.197735\pi\)
−0.813178 + 0.582015i \(0.802265\pi\)
\(542\) 15.2357 + 26.3891i 0.654431 + 1.13351i
\(543\) −27.4255 12.1351i −1.17694 0.520768i
\(544\) 4.43859 + 2.56262i 0.190303 + 0.109872i
\(545\) −5.20416 + 9.01386i −0.222922 + 0.386111i
\(546\) −37.9297 + 3.47584i −1.62324 + 0.148752i
\(547\) −21.2836 36.8643i −0.910022 1.57620i −0.814030 0.580822i \(-0.802731\pi\)
−0.0959915 0.995382i \(-0.530602\pi\)
\(548\) 6.46997i 0.276384i
\(549\) −8.70298 + 27.2102i −0.371434 + 1.16130i
\(550\) 4.77260 0.203504
\(551\) 21.7676 12.5676i 0.927333 0.535396i
\(552\) −25.2559 34.5943i −1.07496 1.47243i
\(553\) −30.1280 17.3944i −1.28117 0.739686i
\(554\) 11.6587 + 6.73118i 0.495333 + 0.285980i
\(555\) 13.5754 9.91089i 0.576245 0.420694i
\(556\) −1.74191 3.01708i −0.0738736 0.127953i
\(557\) 15.6503i 0.663122i −0.943434 0.331561i \(-0.892425\pi\)
0.943434 0.331561i \(-0.107575\pi\)
\(558\) 3.87491 + 4.26393i 0.164038 + 0.180506i
\(559\) 0.110627 7.07499i 0.00467903 0.299240i
\(560\) −7.37486 12.7736i −0.311645 0.539784i
\(561\) −15.2941 + 1.64303i −0.645715 + 0.0693689i
\(562\) 1.70936 2.96069i 0.0721049 0.124889i
\(563\) 8.50949 14.7389i 0.358632 0.621169i −0.629100 0.777324i \(-0.716577\pi\)
0.987733 + 0.156155i \(0.0499098\pi\)
\(564\) 2.67508 6.04571i 0.112641 0.254570i
\(565\) −4.73363 + 2.73296i −0.199145 + 0.114977i
\(566\) 12.9247i 0.543267i
\(567\) 17.9564 + 39.3526i 0.754097 + 1.65265i
\(568\) 23.6213 0.991129
\(569\) 8.97682 + 15.5483i 0.376328 + 0.651819i 0.990525 0.137334i \(-0.0438534\pi\)
−0.614197 + 0.789153i \(0.710520\pi\)
\(570\) 4.09959 9.26511i 0.171713 0.388073i
\(571\) 6.85946 11.8809i 0.287060 0.497202i −0.686047 0.727557i \(-0.740656\pi\)
0.973107 + 0.230355i \(0.0739889\pi\)
\(572\) 2.71302 4.53387i 0.113437 0.189571i
\(573\) −0.194852 1.81377i −0.00814006 0.0757712i
\(574\) −24.1455 + 13.9404i −1.00781 + 0.581861i
\(575\) 8.15491 0.340083
\(576\) −17.9410 19.7421i −0.747540 0.822588i
\(577\) 10.4582i 0.435379i 0.976018 + 0.217689i \(0.0698519\pi\)
−0.976018 + 0.217689i \(0.930148\pi\)
\(578\) 12.5548 7.24855i 0.522213 0.301500i
\(579\) 2.57415 + 3.52593i 0.106978 + 0.146533i
\(580\) 1.84001 + 1.06233i 0.0764023 + 0.0441109i
\(581\) −8.45286 + 14.6408i −0.350684 + 0.607402i
\(582\) 6.14906 4.48919i 0.254887 0.186083i
\(583\) 26.2246 15.1408i 1.08611 0.627068i
\(584\) 6.06419 0.250938
\(585\) 3.45586 10.2497i 0.142882 0.423774i
\(586\) −8.98130 −0.371014
\(587\) 27.4097 15.8250i 1.13132 0.653168i 0.187054 0.982350i \(-0.440106\pi\)
0.944267 + 0.329182i \(0.106773\pi\)
\(588\) 1.16056 + 10.8030i 0.0478608 + 0.445509i
\(589\) −3.48807 + 6.04152i −0.143723 + 0.248936i
\(590\) −1.06489 0.614813i −0.0438407 0.0253115i
\(591\) −4.19179 + 9.47347i −0.172427 + 0.389686i
\(592\) −25.7914 + 14.8907i −1.06002 + 0.612004i
\(593\) 36.6275i 1.50411i 0.659099 + 0.752056i \(0.270938\pi\)
−0.659099 + 0.752056i \(0.729062\pi\)
\(594\) 24.2922 + 4.98859i 0.996722 + 0.204684i
\(595\) −11.3491 −0.465267
\(596\) −4.08360 + 2.35767i −0.167271 + 0.0965737i
\(597\) −22.6635 10.0281i −0.927557 0.410422i
\(598\) −19.1591 + 32.0178i −0.783473 + 1.30930i
\(599\) 3.38837 5.86883i 0.138445 0.239794i −0.788463 0.615082i \(-0.789123\pi\)
0.926908 + 0.375288i \(0.122456\pi\)
\(600\) 5.22231 0.561030i 0.213200 0.0229040i
\(601\) 18.1627 + 31.4587i 0.740871 + 1.28323i 0.952099 + 0.305790i \(0.0989205\pi\)
−0.211228 + 0.977437i \(0.567746\pi\)
\(602\) 11.9693 0.487834
\(603\) −1.30089 5.98474i −0.0529763 0.243717i
\(604\) 2.43518i 0.0990861i
\(605\) −2.72321 + 1.57225i −0.110714 + 0.0639209i
\(606\) 15.1603 + 20.7658i 0.615844 + 0.843552i
\(607\) −10.9449 + 18.9572i −0.444241 + 0.769447i −0.997999 0.0632301i \(-0.979860\pi\)
0.553758 + 0.832677i \(0.313193\pi\)
\(608\) 5.00242 8.66444i 0.202875 0.351390i
\(609\) 26.7656 + 36.6621i 1.08460 + 1.48562i
\(610\) 6.04214 + 10.4653i 0.244639 + 0.423728i
\(611\) −35.3157 0.552208i −1.42872 0.0223400i
\(612\) −2.69725 + 0.586294i −0.109030 + 0.0236995i
\(613\) 37.8637i 1.52930i −0.644445 0.764651i \(-0.722911\pi\)
0.644445 0.764651i \(-0.277089\pi\)
\(614\) −11.8882 20.5910i −0.479769 0.830984i
\(615\) −0.845736 7.87247i −0.0341034 0.317449i
\(616\) 47.4700 + 27.4068i 1.91262 + 1.10425i
\(617\) 40.0447 + 23.1198i 1.61214 + 0.930769i 0.988873 + 0.148760i \(0.0475282\pi\)
0.623267 + 0.782009i \(0.285805\pi\)
\(618\) −14.3117 + 32.3445i −0.575700 + 1.30109i
\(619\) −18.3831 + 10.6135i −0.738880 + 0.426592i −0.821662 0.569975i \(-0.806953\pi\)
0.0827822 + 0.996568i \(0.473619\pi\)
\(620\) −0.589691 −0.0236826
\(621\) 41.5079 + 8.52397i 1.66566 + 0.342055i
\(622\) 2.06313i 0.0827239i
\(623\) −41.4558 71.8035i −1.66089 2.87675i
\(624\) −8.02800 + 17.4028i −0.321377 + 0.696671i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 26.1786 + 15.1142i 1.04631 + 0.604085i
\(627\) 3.20731 + 29.8551i 0.128088 + 1.19230i
\(628\) −0.661719 1.14613i −0.0264054 0.0457356i
\(629\) 22.9151i 0.913686i
\(630\) 17.4275 + 5.57405i 0.694326 + 0.222076i
\(631\) 30.3775i 1.20931i 0.796488 + 0.604654i \(0.206689\pi\)
−0.796488 + 0.604654i \(0.793311\pi\)
\(632\) −19.0092 + 10.9750i −0.756145 + 0.436561i
\(633\) 29.4701 21.5150i 1.17133 0.855143i
\(634\) 16.5272 28.6259i 0.656378 1.13688i
\(635\) 9.51523 + 5.49362i 0.377601 + 0.218008i
\(636\) 4.38875 3.20406i 0.174025 0.127049i
\(637\) 50.7183 28.2343i 2.00953 1.11868i
\(638\) 26.0244 1.03032
\(639\) −17.2941 + 15.7163i −0.684145 + 0.621727i
\(640\) −6.94315 −0.274452
\(641\) 6.72302 + 11.6446i 0.265543 + 0.459934i 0.967706 0.252082i \(-0.0811154\pi\)
−0.702163 + 0.712017i \(0.747782\pi\)
\(642\) −18.3492 + 1.97125i −0.724187 + 0.0777990i
\(643\) 10.3044 + 5.94926i 0.406366 + 0.234616i 0.689227 0.724545i \(-0.257950\pi\)
−0.282861 + 0.959161i \(0.591283\pi\)
\(644\) 13.2256 + 7.63580i 0.521161 + 0.300893i
\(645\) −1.37541 + 3.10843i −0.0541566 + 0.122394i
\(646\) 6.90632 + 11.9621i 0.271726 + 0.470642i
\(647\) −8.74634 −0.343854 −0.171927 0.985110i \(-0.554999\pi\)
−0.171927 + 0.985110i \(0.554999\pi\)
\(648\) 27.1677 + 2.60305i 1.06725 + 0.102257i
\(649\) 3.64423 0.143048
\(650\) −2.22549 3.99773i −0.0872909 0.156804i
\(651\) −11.5211 5.09783i −0.451549 0.199800i
\(652\) 4.29260 + 2.47833i 0.168111 + 0.0970590i
\(653\) −21.7363 + 37.6484i −0.850608 + 1.47330i 0.0300533 + 0.999548i \(0.490432\pi\)
−0.880661 + 0.473747i \(0.842901\pi\)
\(654\) 2.44362 + 22.7463i 0.0955532 + 0.889450i
\(655\) 1.25221 0.722965i 0.0489280 0.0282486i
\(656\) 14.0289i 0.547738i
\(657\) −4.43984 + 4.03477i −0.173215 + 0.157411i
\(658\) 59.7463i 2.32916i
\(659\) −10.7255 18.5771i −0.417807 0.723662i 0.577912 0.816099i \(-0.303868\pi\)
−0.995719 + 0.0924368i \(0.970534\pi\)
\(660\) −2.04998 + 1.49661i −0.0797953 + 0.0582554i
\(661\) −23.1378 13.3586i −0.899957 0.519590i −0.0227706 0.999741i \(-0.507249\pi\)
−0.877186 + 0.480150i \(0.840582\pi\)
\(662\) 7.90257 13.6876i 0.307142 0.531986i
\(663\) 8.50798 + 12.0448i 0.330422 + 0.467781i
\(664\) 5.33330 + 9.23755i 0.206972 + 0.358487i
\(665\) 22.1542i 0.859104i
\(666\) 11.2547 35.1881i 0.436109 1.36351i
\(667\) 44.4677 1.72180
\(668\) 2.20991 1.27589i 0.0855041 0.0493658i
\(669\) −15.6002 + 1.67592i −0.603138 + 0.0647948i
\(670\) −2.24358 1.29533i −0.0866769 0.0500429i
\(671\) −31.0159 17.9070i −1.19735 0.691293i
\(672\) 16.5230 + 7.31106i 0.637390 + 0.282030i
\(673\) −9.02124 15.6252i −0.347743 0.602309i 0.638105 0.769949i \(-0.279719\pi\)
−0.985848 + 0.167640i \(0.946385\pi\)
\(674\) 30.0187i 1.15628i
\(675\) −3.45019 + 3.88538i −0.132798 + 0.149549i
\(676\) −5.06285 0.158368i −0.194725 0.00609107i
\(677\) −0.627397 1.08668i −0.0241128 0.0417646i 0.853717 0.520737i \(-0.174343\pi\)
−0.877830 + 0.478972i \(0.841009\pi\)
\(678\) −4.86126 + 10.9865i −0.186696 + 0.421934i
\(679\) −8.32391 + 14.4174i −0.319442 + 0.553290i
\(680\) −3.58034 + 6.20133i −0.137300 + 0.237810i
\(681\) −9.00533 + 0.967439i −0.345085 + 0.0370723i
\(682\) −6.25527 + 3.61148i −0.239527 + 0.138291i
\(683\) 1.65852i 0.0634617i −0.999496 0.0317308i \(-0.989898\pi\)
0.999496 0.0317308i \(-0.0101019\pi\)
\(684\) 1.14449 + 5.26521i 0.0437606 + 0.201320i
\(685\) −16.6050 −0.634443
\(686\) 27.7491 + 48.0629i 1.05947 + 1.83505i
\(687\) −8.20421 11.2377i −0.313010 0.428745i
\(688\) 3.01134 5.21580i 0.114806 0.198850i
\(689\) −24.9113 14.9066i −0.949044 0.567897i
\(690\) 14.4768 10.5689i 0.551121 0.402352i
\(691\) −36.3926 + 21.0113i −1.38444 + 0.799307i −0.992682 0.120761i \(-0.961466\pi\)
−0.391758 + 0.920068i \(0.628133\pi\)
\(692\) 0.105617 0.00401496
\(693\) −52.9897 + 11.5182i −2.01291 + 0.437542i
\(694\) 1.77793i 0.0674893i
\(695\) 7.74324 4.47056i 0.293718 0.169578i
\(696\) 28.4766 3.05923i 1.07940 0.115960i
\(697\) 9.34831 + 5.39725i 0.354092 + 0.204435i
\(698\) −10.0659 + 17.4347i −0.381001 + 0.659914i
\(699\) −5.79547 2.56436i −0.219205 0.0969929i
\(700\) −1.62180 + 0.936344i −0.0612981 + 0.0353905i
\(701\) −30.5561 −1.15409 −0.577044 0.816713i \(-0.695794\pi\)
−0.577044 + 0.816713i \(0.695794\pi\)
\(702\) −7.14895 22.6744i −0.269820 0.855790i
\(703\) 44.7319 1.68710
\(704\) 28.9621 16.7213i 1.09155 0.630207i
\(705\) 15.5161 + 6.86551i 0.584370 + 0.258570i
\(706\) 2.60629 4.51422i 0.0980890 0.169895i
\(707\) −48.6886 28.1104i −1.83112 1.05720i
\(708\) 0.650197 0.0698503i 0.0244359 0.00262514i
\(709\) 16.9160 9.76646i 0.635294 0.366787i −0.147506 0.989061i \(-0.547124\pi\)
0.782799 + 0.622274i \(0.213791\pi\)
\(710\) 9.88489i 0.370973i
\(711\) 6.61527 20.6829i 0.248092 0.775668i
\(712\) −52.3128 −1.96050
\(713\) −10.6883 + 6.17091i −0.400281 + 0.231102i
\(714\) −20.1471 + 14.7087i −0.753988 + 0.550458i
\(715\) 11.6360 + 6.96286i 0.435162 + 0.260396i
\(716\) 4.11650 7.12998i 0.153841 0.266460i
\(717\) 2.65255 + 3.63332i 0.0990612 + 0.135689i
\(718\) 0.654819 + 1.13418i 0.0244376 + 0.0423272i
\(719\) −2.54436 −0.0948885 −0.0474442 0.998874i \(-0.515108\pi\)
−0.0474442 + 0.998874i \(0.515108\pi\)
\(720\) 6.81351 6.19188i 0.253924 0.230758i
\(721\) 77.3403i 2.88030i
\(722\) 2.47011 1.42612i 0.0919281 0.0530747i
\(723\) −51.9025 + 5.57586i −1.93028 + 0.207369i
\(724\) 3.37330 5.84272i 0.125368 0.217143i
\(725\) −2.72644 + 4.72233i −0.101257 + 0.175383i
\(726\) −2.79664 + 6.32042i −0.103793 + 0.234573i
\(727\) 8.88520 + 15.3896i 0.329534 + 0.570769i 0.982419 0.186687i \(-0.0597751\pi\)
−0.652886 + 0.757456i \(0.726442\pi\)
\(728\) 0.821579 52.5429i 0.0304497 1.94737i
\(729\) −21.6224 + 16.1700i −0.800831 + 0.598890i
\(730\) 2.53770i 0.0939245i
\(731\) −2.31706 4.01327i −0.0856996 0.148436i
\(732\) −5.87703 2.60045i −0.217221 0.0961153i
\(733\) −13.8235 7.98100i −0.510582 0.294785i 0.222491 0.974935i \(-0.428581\pi\)
−0.733073 + 0.680150i \(0.761915\pi\)
\(734\) 5.59505 + 3.23030i 0.206517 + 0.119233i
\(735\) −27.7256 + 2.97855i −1.02267 + 0.109865i
\(736\) 15.3287 8.85001i 0.565022 0.326216i
\(737\) 7.67790 0.282819
\(738\) −11.7043 12.8793i −0.430840 0.474093i
\(739\) 1.18639i 0.0436421i 0.999762 + 0.0218210i \(0.00694640\pi\)
−0.999762 + 0.0218210i \(0.993054\pi\)
\(740\) 1.89059 + 3.27459i 0.0694994 + 0.120376i
\(741\) 23.5123 16.6082i 0.863745 0.610116i
\(742\) 24.5537 42.5283i 0.901396 1.56126i
\(743\) 14.7995 + 8.54451i 0.542942 + 0.313468i 0.746270 0.665643i \(-0.231843\pi\)
−0.203328 + 0.979111i \(0.565176\pi\)
\(744\) −6.42015 + 4.68710i −0.235374 + 0.171838i
\(745\) −6.05087 10.4804i −0.221687 0.383973i
\(746\) 44.9354i 1.64520i
\(747\) −10.0509 3.21470i −0.367742 0.117620i
\(748\) 3.46034i 0.126522i
\(749\) 34.9478 20.1771i 1.27696 0.737256i
\(750\) 0.234776 + 2.18540i 0.00857281 + 0.0797994i
\(751\) 6.09862 10.5631i 0.222542 0.385453i −0.733037 0.680188i \(-0.761898\pi\)
0.955579 + 0.294735i \(0.0952313\pi\)
\(752\) −26.0353 15.0315i −0.949408 0.548141i
\(753\) 25.8011 + 11.4164i 0.940243 + 0.416035i
\(754\) −12.1353 21.7991i −0.441942 0.793878i
\(755\) 6.24981 0.227454
\(756\) −9.23356 + 3.07074i −0.335821 + 0.111682i
\(757\) −23.6145 −0.858283 −0.429141 0.903237i \(-0.641184\pi\)
−0.429141 + 0.903237i \(0.641184\pi\)
\(758\) −14.1495 24.5076i −0.513933 0.890157i
\(759\) −21.4950 + 48.5788i −0.780218 + 1.76330i
\(760\) 12.1054 + 6.98907i 0.439110 + 0.253520i
\(761\) 10.8842 + 6.28401i 0.394553 + 0.227795i 0.684131 0.729359i \(-0.260182\pi\)
−0.289578 + 0.957154i \(0.593515\pi\)
\(762\) 24.0115 2.57954i 0.869844 0.0934469i
\(763\) −25.0122 43.3224i −0.905501 1.56837i
\(764\) 0.410371 0.0148467
\(765\) −1.50470 6.92240i −0.0544027 0.250280i
\(766\) 20.2451 0.731485
\(767\) −1.69932 3.05256i −0.0613590 0.110222i
\(768\) 12.5530 9.16447i 0.452968 0.330694i
\(769\) 9.57478 + 5.52800i 0.345276 + 0.199345i 0.662602 0.748971i \(-0.269452\pi\)
−0.317327 + 0.948316i \(0.602785\pi\)
\(770\) −11.4690 + 19.8649i −0.413315 + 0.715882i
\(771\) −23.0135 + 16.8012i −0.828810 + 0.605082i
\(772\) −0.850507 + 0.491040i −0.0306104 + 0.0176729i
\(773\) 10.7150i 0.385392i −0.981258 0.192696i \(-0.938277\pi\)
0.981258 0.192696i \(-0.0617231\pi\)
\(774\) 1.58694 + 7.30071i 0.0570413 + 0.262419i